EASY
JEE Main/Advanced
IMPORTANT
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If a variable circle touches externally two given circles, then the locus of the centre of the variable circle is _____

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Important Questions on Circle

EASY
JEE Main/Advanced
IMPORTANT
If point Px, y is called a lattice point if x,y∈I. Then the total number of lattice point in the interior of the circle x2+y2=a2,a≠0 is of the form
HARD
JEE Main/Advanced
IMPORTANT
A square is inscribed in the circle x2+y2-10x-6y+30=0. One side of the square is parallel to y=x+3, then the vertex of the square is:
EASY
JEE Main/Advanced
IMPORTANT
If a chord of the circle x2+y2=8 makes equal intercepts of length a on the co-ordinate axes, then a< ______
EASY
JEE Main/Advanced
IMPORTANT
The values of λ for which the circle x2+y2+6x+5+λx2+y2-8x+7=0 dwindles into a point are _____
HARD
JEE Main/Advanced
IMPORTANT
The radical centre of three circles described on the three sides of a triangle as diameter is_____
EASY
JEE Main/Advanced
IMPORTANT
Origin is a limiting point of co-axial system of which x2+y2-6x-8y+1=0 is a member. The other limiting point is _____
EASY
JEE Main/Advanced
IMPORTANT
If 2,5 is an interior point of the circle x2+y2-8x-12y+p=0 and the circle neither cuts nor touches any one of the axes of co-ordinates, then p∈(......).
HARD
JEE Main/Advanced
IMPORTANT
Let Ï•(x,y)=0 be the equation of a circle. If Ï•(0,λ)=0 has equal roots 2, 2 and Ï•(λ,0)=0 has roots 45, 5, then the centre of the circle is